
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 3 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 6 |
| 98.4% | 98.3% | 1.6% | 0.1% | 0% | 0% | 0% | 7 |
| 99.2% | 99.1% | 0.8% | 0.1% | 0% | 0% | 0% | 8 |
| 99.6% | 99.5% | 0.4% | 0.1% | 0% | 0% | 0% | 9 |
| 99.8% | 99.7% | 0.2% | 0.1% | 0% | 0% | 0% | 10 |
| 99.9% | 99.8% | 0.1% | 0.1% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 21 to 11 computations (47.6% saved)
| 617.0ms | 8 256× | 0 | valid |
ival-mult: 218.0ms (59.9% of total)ival-div: 50.0ms (13.7% of total)ival-add: 48.0ms (13.2% of total)ival-sub: 34.0ms (9.3% of total)ival-true: 6.0ms (1.6% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 120 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 11 | 0 | - | 0 | - | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | o/o | 109 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 58 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 109 | |
| ↳ | (*.f64 x x) | overflow | 62 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 58 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 109 | |
| ↳ | (*.f64 x x) | overflow | 62 | |
/.f64 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | u/u | 11 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | underflow | 62 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 11 | |
| ↳ | (*.f64 x x) | underflow | 65 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | underflow | 62 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 11 | |
| ↳ | (*.f64 x x) | underflow | 65 | |
-.f64 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | nan-rescue | 11 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 120 | 0 |
| - | 0 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 120 | 0 | 0 |
| - | 0 | 0 | 136 |
| number | freq |
|---|---|
| 0 | 136 |
| 1 | 109 |
| 2 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 176 to 40 computations (77.3% saved)
ival-mult: 10.0ms (55.7% of total)ival-div: 3.0ms (16.7% of total)ival-sub: 2.0ms (11.1% of total)ival-add: 2.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 85 | 97 |
| 2 | 262 | 95 |
| 3 | 549 | 95 |
| 4 | 1072 | 95 |
| 5 | 1489 | 95 |
| 6 | 1642 | 95 |
| 7 | 1653 | 95 |
| 0 | 9 | 19 |
| 0 | 15 | 19 |
| 1 | 30 | 19 |
| 2 | 81 | 19 |
| 3 | 190 | 19 |
| 4 | 390 | 19 |
| 5 | 608 | 19 |
| 6 | 880 | 19 |
| 7 | 892 | 19 |
| 0 | 892 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(abs y)
(abs x)
Compiled 19 to 9 computations (52.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
Compiled 19 to 9 computations (52.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| cost-diff | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 0 | 15 | 51 |
| 1 | 30 | 51 |
| 2 | 81 | 51 |
| 3 | 190 | 51 |
| 4 | 390 | 51 |
| 5 | 608 | 51 |
| 6 | 880 | 51 |
| 7 | 892 | 51 |
| 0 | 892 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) y) |
(*.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) y) |
(*.f64 (*.f64 #s(literal 4 binary64) y) y) |
(*.f64 y #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) y) |
y |
#s(literal 4 binary64) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| accuracy | 2.4453021791510294 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| accuracy | 29.4131387302166 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 18.0ms | 256× | 0 | valid |
Compiled 104 to 20 computations (80.8% saved)
ival-mult: 4.0ms (37.3% of total)ival-sub: 3.0ms (28% of total)ival-div: 1.0ms (9.3% of total)ival-add: 1.0ms (9.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(*.f64 x x) |
| Outputs |
|---|
(* -4 (pow y 2)) |
(- (pow x 2) (* 4 (pow y 2))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | x | @ | 0 | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | y | @ | inf | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | y | @ | 0 | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 440 |
| 1 | 326 | 402 |
| 2 | 1092 | 358 |
| 3 | 6285 | 354 |
| 0 | 8250 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (pow y 2)) |
(- (pow x 2) (* 4 (pow y 2))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
| Outputs |
|---|
(* -4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(* 4 (pow y 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 4 binary64)) (*.f64 y y)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 0 | 15 | 40 |
| 1 | 52 | 40 |
| 2 | 382 | 40 |
| 0 | 5623 | 36 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
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(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 #s(literal 4 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 23 724 to 1 315 computations (94.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 495 | 6 | 501 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 496 | 6 | 502 |
| Status | Accuracy | Program |
|---|---|---|
| 52.6% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) | |
| ▶ | 53.0% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 52.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 50.9% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
| ▶ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ▶ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 308 to 154 computations (50% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal -8 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 205 |
| 0 | 48 | 201 |
| 1 | 101 | 197 |
| 2 | 240 | 197 |
| 3 | 569 | 197 |
| 4 | 1304 | 197 |
| 5 | 2523 | 197 |
| 6 | 3741 | 197 |
| 7 | 3901 | 197 |
| 8 | 3905 | 197 |
| 9 | 3905 | 197 |
| 10 | 4033 | 197 |
| 11 | 4089 | 197 |
| 12 | 4089 | 197 |
| 0 | 4089 | 197 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
#s(literal -8 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
#s(literal -8 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) | |
| accuracy | 31.431576073534472 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.037671313241307514 | (*.f64 #s(literal -8 binary64) (/.f64 y x)) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) | |
| accuracy | 31.224118717803687 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) | |
| accuracy | 32.3263601350863 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) | |
| accuracy | 2.4492084291510294 | (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) | |
| accuracy | 29.4131387302166 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| 47.0ms | 256× | 0 | valid |
Compiled 390 to 63 computations (83.8% saved)
ival-mult: 18.0ms (58.3% of total)ival-div: 6.0ms (19.4% of total)ival-add: 4.0ms (12.9% of total)ival-sub: 2.0ms (6.5% of total)exact: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(/.f64 y x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* -4 (pow y 2)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ y x)) |
(/ y x) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(pow y 2) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | x | @ | 0 | ((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | y | @ | 0 | ((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | y | @ | inf | ((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | y | @ | -inf | ((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 500 |
| 1 | 368 | 466 |
| 2 | 1228 | 422 |
| 3 | 7035 | 418 |
| 0 | 8247 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* -4 (pow y 2)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ y x)) |
(/ y x) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(pow y 2) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(* -4 (pow y 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* -8 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(/ y x) |
(/.f64 y x) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* 4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 188 |
| 0 | 48 | 184 |
| 1 | 178 | 172 |
| 2 | 1268 | 172 |
| 0 | 8606 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(/.f64 y x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
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(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 y #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 y #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 x (neg.f64 x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 y #s(literal -4 binary64)))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) y)) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 y #s(literal -4 binary64))) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) |
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(-.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) (*.f64 y #s(literal -4 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) y)) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal -4 binary64)))) y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))))) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 y #s(literal -4 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) y)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 y #s(literal 4 binary64)) |
Compiled 47 204 to 2 820 computations (94% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 084 | 5 | 1 089 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 086 | 9 | 1 095 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
| ✓ | 53.0% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 52.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
| ▶ | 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
| ▶ | 51.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
| ▶ | 50.9% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 563 to 273 computations (51.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 2 | (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 9 | (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 18 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) | |
| cost-diff | 2 | (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) | |
| cost-diff | 8 | (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 y #s(literal -4 binary64)) | |
| cost-diff | 2 | (neg.f64 (neg.f64 x)) | |
| cost-diff | 9 | (fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 727 |
| 0 | 107 | 703 |
| 1 | 222 | 645 |
| 2 | 685 | 605 |
| 3 | 2999 | 575 |
| 4 | 7336 | 575 |
| 0 | 8386 | 555 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 y #s(literal -4 binary64)) |
y |
#s(literal -4 binary64) |
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(neg.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -8 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
#s(literal 8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 6 binary64) |
#s(literal -512 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
#s(literal 8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 y #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) y) |
y |
#s(literal -4 binary64) |
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 y (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 x x) |
(neg.f64 (neg.f64 x)) |
x |
(neg.f64 x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) |
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 x y) x) |
x |
(/.f64 x y) |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
(fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) |
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) |
(*.f64 #s(literal 8 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -8 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 6 binary64) |
#s(literal -512 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (pow.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 18.50375350143525 | (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 28.67633349747748 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0.14947133791597816 | (pow.f64 (/.f64 y x) #s(literal 4 binary64)) | |
| accuracy | 0.19140625 | (pow.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 28.666235987709037 | (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) | |
| accuracy | 0.19140625 | (pow.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.19140625 | (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) | |
| accuracy | 26.028729862633725 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) | |
| accuracy | 0.0 | #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) | |
| accuracy | 0.08984375 | (*.f64 x (/.f64 x y)) | |
| accuracy | 1.238371295370617 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) | |
| accuracy | 31.431576073534472 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) | |
| accuracy | 17.049069633531843 | (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 22.189761460741536 | (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| 122.0ms | 256× | 0 | valid |
Compiled 1 323 to 132 computations (90% saved)
ival-mult: 30.0ms (40.7% of total)ival-div: 13.0ms (17.6% of total)ival-sub: 12.0ms (16.3% of total)ival-add: 8.0ms (10.9% of total)ival-pow: 4.0ms (5.4% of total)ival-neg: 3.0ms (4.1% of total)ival-pow2: 2.0ms (2.7% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(neg.f64 (neg.f64 x)) |
(*.f64 y #s(literal -4 binary64)) |
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 x (/.f64 x y)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
x |
(/ 1/4 y) |
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(* 64 (/ (pow y 4) (pow x 4))) |
(* 8 (/ (pow y 2) (pow x 2))) |
(* -64 (/ (pow y 4) (pow x 4))) |
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4)) |
(* 8 (/ y x)) |
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(/ (pow x 2) y) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 4) (pow x 4)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(/ y (pow x 2)) |
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(+ 1 (* -64 (/ (pow y 4) (pow x 4)))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(+ 1 (* -512 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4)))))))) |
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (* -8 (/ (pow y 2) (pow x 2))) 1) |
(+ 1 (* 16 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* -4 y) |
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(/ 1/2 y) |
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2))))))) |
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2)))))) |
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y)) |
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y)) |
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | inf | ((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))) |
| 14.0ms | x | @ | 0 | ((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))) |
| 9.0ms | y | @ | 0 | ((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))) |
| 7.0ms | x | @ | inf | ((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))) |
| 7.0ms | y | @ | -inf | ((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 2307 |
| 1 | 1524 | 2161 |
| 2 | 5390 | 2119 |
| 0 | 8495 | 1979 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
x |
(/ 1/4 y) |
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(* 64 (/ (pow y 4) (pow x 4))) |
(* 8 (/ (pow y 2) (pow x 2))) |
(* -64 (/ (pow y 4) (pow x 4))) |
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4)) |
(* 8 (/ y x)) |
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(/ (pow x 2) y) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 4) (pow x 4)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(/ y (pow x 2)) |
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(+ 1 (* -64 (/ (pow y 4) (pow x 4)))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(+ 1 (* -512 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4)))))))) |
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (* -8 (/ (pow y 2) (pow x 2))) 1) |
(+ 1 (* 16 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* -4 y) |
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(/ 1/2 y) |
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2))))))) |
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2)))))) |
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y)) |
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y)) |
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/32 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
x |
(/ 1/4 y) |
(/.f64 #s(literal 1/4 binary64) y) |
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) y)) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y)) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y)) |
(* 64 (/ (pow y 4) (pow x 4))) |
(*.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* 8 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y) |
(* -64 (/ (pow y 4) (pow x 4))) |
(*.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4)) |
(fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 8 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 8 binary64)) |
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (*.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) y) y (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (*.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y y) (*.f64 x x)) x) x (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (*.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) x) x (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4)) |
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) x) x (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) y) y) x) x) |
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)) (*.f64 x x)) |
(* 4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow y 2) (pow x 2)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/ (pow y 4) (pow x 4)) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(-.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(/ y (pow x 2)) |
(/.f64 (/.f64 y x) x) |
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) y) (*.f64 x x)) |
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) y)) (*.f64 x x)) |
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) y))) (*.f64 x x)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 1 (* -64 (/ (pow y 4) (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 y y) (fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(+ 1 (* -512 (/ (pow y 6) (pow x 6)))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) |
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
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(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
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(- (* -8 (/ (pow y 2) (pow x 2))) 1) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(+ 1 (* 16 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))) |
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(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
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(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
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(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
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(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
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(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
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(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
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(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))) |
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(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
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(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
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(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) y)) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) y) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64)))) y) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x x))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x)))))) |
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x x))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x)))))) |
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 512 binary64) (/.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) (pow.f64 y #s(literal 6 binary64))) |
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 y y)) |
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y)) |
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64)) (*.f64 y y)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1/4 binary64)) y)) |
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (*.f64 x x) y) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64)))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 568 |
| 0 | 107 | 488 |
| 1 | 402 | 375 |
| 2 | 3220 | 375 |
| 0 | 10764 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(neg.f64 (neg.f64 x)) |
(*.f64 y #s(literal -4 binary64)) |
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 x (/.f64 x y)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y) #s(literal 2 binary64)) #s(literal 16 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y) #s(literal 2 binary64)) #s(literal 16 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y) #s(literal 2 binary64)) #s(literal 16 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y) #s(literal 2 binary64)) #s(literal 16 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y)) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y)))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y)))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal -4 binary64) y) y))) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) |
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(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 8 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 y) (/.f64 y x))) x) |
(/.f64 (fabs.f64 (*.f64 y (/.f64 y x))) x) |
(/.f64 (fabs.f64 (*.f64 (/.f64 y x) (neg.f64 y))) x) |
(/.f64 (fabs.f64 (*.f64 (/.f64 y x) y)) x) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 y) y)) (*.f64 x x)) |
(/.f64 (fabs.f64 (*.f64 y (neg.f64 y))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (neg.f64 x)) |
(/.f64 (*.f64 y (/.f64 y x)) x) |
(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64) (log.f64 (/.f64 y x)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (sinh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
Compiled 75 410 to 5 274 computations (93% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 262 | 5 | 1 267 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 266 | 10 | 1 276 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
| ✓ | 53.0% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 52.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
| ▶ | 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
| ▶ | 51.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
| ▶ | 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
| ✓ | 50.9% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 659 to 296 computations (55.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) | |
| cost-diff | 2 | (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 8 | (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 18 | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 2 | (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 9 | (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 18 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) | |
| cost-diff | 2 | (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) | |
| cost-diff | 8 | (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) | |
| cost-diff | 9 | (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 904 |
| 0 | 106 | 872 |
| 1 | 234 | 787 |
| 2 | 739 | 707 |
| 3 | 3623 | 677 |
| 0 | 8406 | 651 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 y y) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -8 binary64) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 8 binary64) (/.f64 y x)) |
#s(literal 8 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 6 binary64) |
#s(literal -512 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 8 binary64) (/.f64 y x)) |
#s(literal 8 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
(*.f64 (/.f64 y x) y) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
#s(literal 64 binary64) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) y) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 y #s(literal -4 binary64)) |
#s(literal -4 binary64) |
y |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
(fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) |
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) |
(*.f64 #s(literal 8 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -8 binary64) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 8 binary64) (/.f64 y x)) |
#s(literal 8 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 6 binary64) |
#s(literal -512 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 8 binary64) (/.f64 y x)) |
#s(literal 8 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(*.f64 (/.f64 y x) y) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(fma.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
#s(literal 64 binary64) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (pow.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 18.49984725143525 | (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) | |
| accuracy | 28.67633349747748 | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 3.554876251416339 | (/.f64 (*.f64 (/.f64 y x) y) x) | |
| accuracy | 18.50375350143525 | (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 28.67633349747748 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0.11269384768442019 | (pow.f64 (/.f64 y x) #s(literal 6 binary64)) | |
| accuracy | 0.14947133791597816 | (pow.f64 (/.f64 y x) #s(literal 4 binary64)) | |
| accuracy | 28.666235987709037 | (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) | |
| accuracy | 0.10384750976844201 | (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) | |
| accuracy | 0.19140625 | (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) | |
| accuracy | 26.028729862633725 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))) | |
| accuracy | 30.23865287111034 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) | |
| accuracy | 17.070085836462603 | (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) | |
| accuracy | 22.189761460741536 | (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
| 218.0ms | 256× | 0 | valid |
Compiled 1 663 to 124 computations (92.5% saved)
ival-sub: 59.0ms (38.1% of total)ival-pow: 41.0ms (26.5% of total)ival-mult: 31.0ms (20% of total)ival-div: 12.0ms (7.8% of total)ival-add: 7.0ms (4.5% of total)ival-pow2: 2.0ms (1.3% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 #s(literal -4 binary64) y) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
| Outputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(/ -1 y) |
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y)) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 5))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 7))) (* 1/16 (/ 1 (pow y 5))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y)) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(* 64 (/ (pow y 4) (pow x 4))) |
(* 8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -64 (/ (pow y 4) (pow x 4))) |
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(/ (pow y 4) (pow x 4)) |
(/ (pow y 6) (pow x 6)) |
(/ (pow y 2) (pow x 2)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(* -4 (/ y (pow x 2))) |
(/ (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2))))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (+ (* 16 (/ (pow y 3) (pow x 2))) (* 256 (/ (pow y 7) (pow x 6)))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* -64 (/ (pow y 4) (pow x 4)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(+ 1 (* -512 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4)))))))) |
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (* -8 (/ (pow y 2) (pow x 2))) 1) |
(+ 1 (* 16 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))) |
(/ (- (* -64 (/ (pow y 4) (pow x 2))) (* -8 (pow y 2))) (pow x 2)) |
(/ (- (+ (* -512 (/ (pow y 6) (pow x 4))) (* -64 (/ (pow y 4) (pow x 2)))) (* -8 (pow y 2))) (pow x 2)) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* y (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* y (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* -4 y) |
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (- (* 1/4 (/ (pow x 2) (pow y 2))) 1) y) |
(/ (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) y) |
(/ (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) y) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2))))))) |
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2)))))) |
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y)) |
(* -1 (/ (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) y)) |
(* -1 (/ (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | y | @ | 0 | ((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2)) |
| 6.0ms | y | @ | -inf | ((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2)) |
| 5.0ms | y | @ | inf | ((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2)) |
| 5.0ms | x | @ | 0 | ((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2)) |
| 4.0ms | x | @ | inf | ((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 463 | 2369 |
| 1 | 1461 | 2249 |
| 2 | 5265 | 2182 |
| 0 | 8472 | 2049 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(/ -1 y) |
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y)) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 5))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 7))) (* 1/16 (/ 1 (pow y 5))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y)) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(* 64 (/ (pow y 4) (pow x 4))) |
(* 8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -64 (/ (pow y 4) (pow x 4))) |
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(/ (pow y 4) (pow x 4)) |
(/ (pow y 6) (pow x 6)) |
(/ (pow y 2) (pow x 2)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(* -4 (/ y (pow x 2))) |
(/ (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2))))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (+ (* 16 (/ (pow y 3) (pow x 2))) (* 256 (/ (pow y 7) (pow x 6)))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* -64 (/ (pow y 4) (pow x 4)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(+ 1 (* -512 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4)))))))) |
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (* -8 (/ (pow y 2) (pow x 2))) 1) |
(+ 1 (* 16 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))) |
(/ (- (* -64 (/ (pow y 4) (pow x 2))) (* -8 (pow y 2))) (pow x 2)) |
(/ (- (+ (* -512 (/ (pow y 6) (pow x 4))) (* -64 (/ (pow y 4) (pow x 2)))) (* -8 (pow y 2))) (pow x 2)) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* y (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* y (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* -4 y) |
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (- (* 1/4 (/ (pow x 2) (pow y 2))) 1) y) |
(/ (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) y) |
(/ (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) y) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2))))))) |
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2)))))) |
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y)) |
(* -1 (/ (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) y)) |
(* -1 (/ (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) y)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/32 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y)) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x) x) (/.f64 #s(literal 1 binary64) y)) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 5))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y)) |
(-.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 7))) (* 1/16 (/ 1 (pow y 5))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) |
(* 4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(* 64 (/ (pow y 4) (pow x 4))) |
(*.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* 8 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y) |
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(* -64 (/ (pow y 4) (pow x 4))) |
(*.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4)) |
(fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (*.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) y) y (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (*.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y y) (*.f64 x x)) x) x (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (*.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) y) y (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4)) |
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) y) y (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* 1/4 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) x) |
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 x x)) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 x x)) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (pow y 4) (pow x 4)) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (pow y 6) (pow x 6)) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(-.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -4 binary64) x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(* -4 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -4 binary64)) |
(/ (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 #s(literal -4 binary64) y)) (*.f64 x x)) |
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -64 binary64) (*.f64 #s(literal -4 binary64) y))) (*.f64 x x)) |
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (+ (* 16 (/ (pow y 3) (pow x 2))) (* 256 (/ (pow y 7) (pow x 6)))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 #s(literal 16 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 256 binary64) (*.f64 #s(literal -4 binary64) y)))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(+ 1 (* -64 (/ (pow y 4) (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -4 binary64) x) (fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
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(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y)) |
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y)) |
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 #s(literal -1 binary64) y)) |
(* -1 (/ (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) #s(literal 1 binary64))) (neg.f64 y)) |
(* -1 (/ (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) y)) |
(/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) #s(literal 1 binary64)))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 683 |
| 0 | 106 | 578 |
| 1 | 434 | 443 |
| 2 | 3339 | 443 |
| 0 | 9060 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 #s(literal -4 binary64) y) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) y) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) y) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 #s(literal 4 binary64) y) y)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) y) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) y) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 x x)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 y #s(literal -4 binary64)) y)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -4 binary64)) y)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y #s(literal -4 binary64)) y)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x)) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) y) (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) y) (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x)) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))) (*.f64 (*.f64 y #s(literal -4 binary64)) y))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))) (*.f64 (*.f64 y #s(literal -4 binary64)) y))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))) #s(literal 2 binary64))) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))))) |
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(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64) (log.f64 (/.f64 y x)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (sinh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(*.f64 y (fabs.f64 (/.f64 (/.f64 y x) x))) |
(*.f64 y (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (/.f64 y x) x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) x) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 y) x) y)) x) |
(/.f64 (fabs.f64 (*.f64 (/.f64 y x) y)) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) y) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(*.f64 y (fabs.f64 (/.f64 (/.f64 y x) x))) |
(*.f64 y (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (/.f64 y x) x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) x) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 y) x) y)) x) |
(/.f64 (fabs.f64 (*.f64 (/.f64 y x) y)) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) y) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
Compiled 84 882 to 5 875 computations (93.1% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 387 | 4 | 1 391 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 390 | 11 | 1 401 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.5% | (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
| ✓ | 53.0% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 52.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ✓ | 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
| 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) | |
| 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) | |
| 51.7% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 8 binary64)) x) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) | |
| 51.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 50.9% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 1 467 to 367 computations (75% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 8 binary64)) x) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
5 calls:
| 9.0ms | x |
| 7.0ms | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 6.0ms | y |
| 6.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 6.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 3 | x |
| 85.5% | 3 | y |
| 78.8% | 2 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 84.8% | 3 | (*.f64 x x) |
| 85.5% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
Compiled 29 to 21 computations (27.6% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 2 | x |
| 79.4% | 2 | (*.f64 x x) |
| 80.5% | 2 | y |
| 80.5% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
2 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 2 | y |
| 80.5% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
2 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 2 | y |
| 80.2% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
2 calls:
| 1.0ms | y |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 2 | y |
| 79.8% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
Compiled 6 to 7 computations (-16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
5 calls:
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 1 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 49.5% | 1 | x |
| 49.5% | 1 | (*.f64 x x) |
| 49.5% | 1 | y |
| 49.5% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
Compiled 29 to 21 computations (27.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.784615184953401e+154 | 3.876385809465097e+156 |
| 0.0ms | 2.126290811841485e-227 | 1.7061733483655365e-221 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.428402086781574e-110 | 7.304998142065342e-105 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.428402086781574e-110 | 7.304998142065342e-105 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.428402086781574e-110 | 7.304998142065342e-105 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 6.428402086781574e-110 | 7.304998142065342e-105 |
| 6.0ms | 144× | 0 | valid |
Compiled 396 to 230 computations (41.9% saved)
ival-sub: 1.0ms (31.3% of total)ival-div: 1.0ms (31.3% of total)ival-add: 1.0ms (31.3% of total)ival-mult: 1.0ms (31.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 385 |
| 1 | 83 | 385 |
| 2 | 155 | 385 |
| 3 | 307 | 385 |
| 4 | 666 | 385 |
| 5 | 1266 | 385 |
| 6 | 2445 | 385 |
| 7 | 2703 | 385 |
| 8 | 2705 | 385 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8535058474086213/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8779649585495489/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8535058474086213/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8779649585495489/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 440 |
| 1 | 326 | 402 |
| 2 | 1092 | 358 |
| 3 | 6285 | 354 |
| 0 | 8250 | 332 |
| 0 | 9 | 40 |
| 0 | 15 | 40 |
| 1 | 52 | 40 |
| 2 | 382 | 40 |
| 0 | 5623 | 36 |
| 0 | 130 | 500 |
| 1 | 368 | 466 |
| 2 | 1228 | 422 |
| 3 | 7035 | 418 |
| 0 | 8247 | 388 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 534 to 146 computations (72.7% saved)
(abs x)
(abs y)
Compiled 1 346 to 330 computations (75.5% saved)
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